What is the Least Common Multiple of 98040 and 98052?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 98040 and 98052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98040 and 98052, than apply into the LCM equation.

GCF(98040,98052) = 12
LCM(98040,98052) = ( 98040 × 98052) / 12
LCM(98040,98052) = 9613018080 / 12
LCM(98040,98052) = 801084840

Least Common Multiple (LCM) of 98040 and 98052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98040 and 98052. First we will calculate the prime factors of 98040 and 98052.

Prime Factorization of 98040

Prime Factorization of 98052

Now multiplying the highest exponent prime factors to calculate the LCM of 98040 and 98052.

LCM(98040,98052) = 2³ × 3¹ × 5¹ × 19¹ × 43¹ × 8171¹
LCM(98040,98052) = 801084840